General Information
Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Test Item Specifications
MAFS.8.G.1.1 Verify experimentally the properties of rotations, reflections, and translations:
MAFS.8.G.1.1a Lines are taken to lines, and line segments to line segments of the same length.
MAFS.8.G.1.1b Angles are taken to angles of the same measure.
MAFS.8.G.1.1c Parallel lines are taken to parallel lines.
Items should not include the coordinate plane as the coordinate plane is needed in MAFS.8.G.1.3. Limit the sequence to no more than two transformations. Two-dimensional figures are limited to no more than seven sides. A pre-image and image should not include apostrophe notation as this would give away the identification of similarity and congruence. No reference to the definition of congruence or symbols relating to the definition should be used (HS Geometry).
Neutral
Allowable
Sample Test Items (1)
| Test Item # | Question | Difficulty | Type |
| Sample Item 1 | Which sequence of transformations results in figures that are similar but not congruent?
|
N/A | MC: Multiple Choice |
Related Courses
| Course Number1111 | Course Title222 |
| 1205050: | M/J Accelerated Mathematics Grade 7 (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022, 2022 - 2024, 2024 and beyond (current)) |
| 1205070: | M/J Grade 8 Pre-Algebra (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) |
| 1204000: | M/J Foundational Skills in Mathematics 6-8 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) |
| 7812030: | Access M/J Grade 8 Pre-Algebra (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current)) |
Related Resources
Educational Software / Tool
| Name | Description |
| Transformations Using Technology | This virtual manipulative can be used to demonstrate and explore the effect of translation, rotation, and/or reflection on a variety of plane figures. A series of transformations can be explored to result in a specified final image. |
Formative Assessments
| Name | Description |
| Similarity - 2 | Students are asked to describe a sequence of transformations to show that two polygons are similar. |
| Similarity - 1 | Students are asked to describe a sequence of transformations to show that two polygons are similar. |
| Similarity - 3 | Students are asked to describe a sequence of transformations that demonstrates two polygons are similar. |
| Proving Similarity | Students are asked to explain similarity in terms of transformations. |
Lesson Plans
| Name | Description |
| Coding Geometry Challenge #23 & 24 | This set of geometry challenges focuses on using transformations to show similarity and congruence of polygons and circles. Students problem solve and think as they learn to code using block coding software. Student will need to use their knowledge of the attributes of polygons and mathematical principals of geometry to accomplish the given challenges. The challenges start out fairly simple and move to more complex situations in which students can explore at their own pace or work as a team. Computer Science standards are seamlessly intertwined with the math standards while providing “Step it up!” and “Jump it up!” opportunities to increase rigor. |
| Dilly Dallying with Dilations | Students will understand the concept of dilation by constructing similar polygons on a coordinate grid using coordinate notation of dilation  . students use similar figures to determine the scale factor. students use proportions to determine side lengths of similar figures. |
Original Student Tutorial
| Name | Description |
| Home Transformations | Learn to describe a sequence of transformations that will produce similar figures. This interactive tutorial will allow you to practice with rotations, translations, reflections, and dilations. |
Perspectives Video: Professional/Enthusiast
| Name | Description |
| All Circles Are Similar- Especially Circular Pizza! | What better way to demonstrate that all circles are similar then to use pizzas! Gaines Street Pies explains how all pizza pies are similar through transformations. Download the CPALMS Perspectives video student note taking guide. |
Student Center Activity
| Name | Description |
| Edcite: Mathematics Grade 8 | Students can practice answering mathematics questions on a variety of topics. With an account, students can save their work and send it to their teacher when complete. |
Tutorial
| Name | Description |
| Testing Similarity Through Transformations | This video shows testing for similarity through transformations. |
Student Resources
Original Student Tutorial
| Name | Description |
| Home Transformations: | Learn to describe a sequence of transformations that will produce similar figures. This interactive tutorial will allow you to practice with rotations, translations, reflections, and dilations. |
Educational Software / Tool
| Name | Description |
| Transformations Using Technology: | This virtual manipulative can be used to demonstrate and explore the effect of translation, rotation, and/or reflection on a variety of plane figures. A series of transformations can be explored to result in a specified final image. |
Student Center Activity
| Name | Description |
| Edcite: Mathematics Grade 8: | Students can practice answering mathematics questions on a variety of topics. With an account, students can save their work and send it to their teacher when complete. |
Tutorial
| Name | Description |
| Testing Similarity Through Transformations: | This video shows testing for similarity through transformations. |